Twenty-Five Psychology Instructors Have Formed a Committee to Pick Next

Twenty-five psychology instructors have formed a committee to pick next year's textbook, and they have narrowed their decision down to two equally good books, one with a better bibliography and references, and the other with a better format and illustrations. Since the books are considered to be equally good, we will assume the probability an instructor chooses either book is 0.5 and the instructors' decisions are made independently.
Using the binomial distribution, find the probability 15 or more instructors choose the book with the better format and illustrations.
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Use the normal approximation to the binomial to find the probability 15 or more instructors choose the book with the better format and illustrations.
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Compare the results in parts (a) and (b). Is the normal approximation a good approximation?
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